461593860 has 192 divisors, whose sum is σ = 1684634112. Its totient is φ = 91643904.

The previous prime is 461593849. The next prime is 461593897. The reversal of 461593860 is 68395164.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90334 + ... + 95306.

It is an arithmetic number, because the mean of its divisors is an integer number (8774136).

Almost surely, 2^461593860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461593860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842317056).

461593860 is an abundant number, since it is smaller than the sum of its proper divisors (1223040252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461593860 is a wasteful number, since it uses less digits than its factorization.

461593860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 461593860 is about 21484.7355115207. The cubic root of 461593860 is about 772.8348084210.

The spelling of 461593860 in words is "four hundred sixty-one million, five hundred ninety-three thousand, eight hundred sixty".